How Long Does It Take a Thrown Ball to Reach a Wall?

AI Thread Summary
To determine how long it takes for a ball thrown at 31 m/s at a 40° angle to reach a wall 22 m away, the horizontal component of the velocity is calculated as 23.7 m/s. The time to reach the wall is found by dividing the distance (22 m) by the horizontal velocity (23.7 m/s). The initial calculation mistakenly concluded the time as 0.96 seconds, which is incorrect. The correct time should be calculated as 22 m divided by 23.7 m/s, leading to a different result. Accurate calculations are crucial for determining the correct time of flight.
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You throw a ball with a speed of 31 m/s at an angle of 40.0° above the horizontal directly toward a wall (Fig. 4-35). The wall is 22.0 m from the release point of the ball.

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(a) How long does the ball take to reach the wall?

I got .96 seconds

31m/s Cos(40) = 23.7m/s

22m/23.7m/s = .96seconds right?

what did I do wrong?
 

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everything is right except your final answer... 22/23.7 isn't 0.96.
 
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